A company rents two storage units. Both units are cube- shaped. What is the difference in volume of the two storage units? Note that the volume of a cube a square is s(2) , where is the side length. Explain.

Answers

Answer 1

Answer:

The difference between their volumes is [tex]237.375ft^3[/tex]

Step-by-step explanation:

The attachment completes the question.

For cube 1:

[tex]s_1 = 8ft[/tex]

For cube 2:

[tex]s_2 = 6.5ft[/tex]

Required

The difference in their volumes

First, we calculate the volume of box 1

[tex]V_1 = s_1^3[/tex]

Substitute 8 for s1

[tex]V_1 = 8^3[/tex]

[tex]V_1 = 512ft^3[/tex]

Next, we calculate the volume of box 2

[tex]V_2 = s_2^3[/tex]

Substitute 6.5 for s2

[tex]V_2 = 6.5^3[/tex]

[tex]V_2 = 274.625ft^3[/tex]

The difference is then calculated as:

[tex]Difference = |V_1- V_2|[/tex]

[tex]Difference = |274.625- 512|[/tex]

[tex]Difference = |-237.375|[/tex]

[tex]Difference = 237.375[/tex]

Hence, the difference between their volumes is [tex]237.375ft^3[/tex]

A Company Rents Two Storage Units. Both Units Are Cube- Shaped. What Is The Difference In Volume Of The

Related Questions

48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?​

Answers

Answer:

108 pens

Step-by-step explanation:

Answer:108. 48 divided by 4 = 12x9=108

Find a pair of integers with a product of -84 and a sum of 5.

Answers

Answer:

12 x -7 = -84 12 + (-7) = 5

Step-by-step explanation:

how do yo do this question I have to
Solve the System by Substitution:

y = x-2
x + y = 4

Answers

Answer:

x=3

y=1

Step-by-step explanation:

We know that y is basically two less than x, so we can plug that into the second equation:

x+ (x-2) = 4

We can now simplify:

2x-2=4

2x=6

x=3

After finding x we can now find y with any equation (both work):

y= 3-2

y=1

Hope this helped!

Answer:

x = 3, y = 1

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(  3 , 1 )

Hoped this helped :}

Can someone please help me now. I'll pay extra points fr. This my last time please

Answers

Answer:

[tex]y = \frac{1}{2}x - 3[/tex]

Step-by-step explanation:

The y-intercept is -3

You can determine the slope by using rise over run, which is 1/2.

HELPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

The answer is C

Step-by-step explanation:

If u are selling 5 cans of soup for $12.75 how much is each of them

Answers

Answer:

63.75

Step-by-step explanation:

12.75 times 5

Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms

Answers

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

I don't understand the way they've arranged the statement...

Answers

can’t see the picture

add 7 to 5, then divide b by the result

Answers

Answer:

you didnt say what b was but itd be 12/b

Step-by-step explanation:

Answer:

b/12

Step-by-step explanation:

whats b?

7 + 5 = 12

so whatever b is, divide that by 12

b/12

PLSS HELP ILL GIVE BRAINLIEST IF YOU HELP ME AND EXPLAIN UR ANSWER

Answers

Answer:

It is the second choice.

Step-by-step explanation:

Divide both side by pi r squared. Boom.

Answer:

h = V/πr²

Step-by-step explanation:

Its asking you to isolate h. You can simply divide on the right besides h on both sides.

V = πr²h

V/πr² = h

can someone helPPPPPPPPPPPPPPPPPP

Answers

i believe it’s option #3. hopefully that helps :)

please answer ASAP i will marks brainliest!!!!

A standard high school track is 1/4 of a mile. One student is jogging and another student is
riding his bicycle around the track. The jogger is averaging 1 mile ran every 12 minutes, and the
biker is averaging 1 mile biked every 4 minutes. If both individuals plan to exercise for exactly
1.5 hours. How many more laps would the biker make around the track than the jogger?

Answers

Answer:

15

Step-by-step explanation:

If abc=dec, b=5x and e = 45
What is x?

Answers

Answer:

9

Step-by-step explanation:

5(9)=45

Answer:

Step-by-step explanation:

a5xc=d45c

according to this equality,

x=5

13 = -2 ( y - 4 ) + 3y

Answers

Answer:

Y= 5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

13= -2y+8+3y

13= y +8

-8       -8

5= y or y=5

I hope this helps!!

18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.

Answers

Answer:

22

Step-by-step explanation:

Let the number of sides ne n

Sum of interior angles:

180(n - 2)

Sum of exterior angles:

360

We have equation below to solve for n:

180(n - 2) = 10*360n - 2 = 20n = 22

How do you write mixed numbers as percents?

Answers

convert the fraction part of the mixed number to a decimal,Divide the numerator by the denominator.


Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.

Answers

Answer:

D

Step-by-step explanation:

This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)

So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer

A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

What is an exponent?

Consider the function:

y = a (1 ± r)ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:

f(x) = 197(1.25)ˣ

If the growth of the weed is shown by each day will be given as,

r = 0.25 / 7

r = 0.03

Then the function is given as,

f(x) = 197(1.03)⁷ˣ

The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ2

In the figure, angle E measures 54° and angle G measures 29°. What is the measurement of angle H?

A.
25°
B.
34°
C.
97°
D.
126°

Answers

Answer:

H=97 degrees or choice "C"

Step-by-step explanation:

Assuming this is a triangle:

All triangles contain 180 degrees, so:

180=E+G+H, or H=180-E-G

H=180-54-29

H=97

H=97 degrees or choice "C"

Rajan had 30 dollars to spend on 3 gifts. He spent 9 1 4 dollars on gift A and 5 4 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

$15 1/10

Step-by-step explanation:

Given that :

Total amount to spend = $30

Amount spent on Gift A = $9 1/4

Amount spent on Gift B = $5 4/5

Amount left to spend on gift C ;

$30 - (9 1/4 + 5 4/5)

$30 - (37/4 + 29/5)

$30 - (185 + 116)/20

$30 - 298/20

30/1 - 298/20

$(600 - 298) / 20

$302/20

$15 2/20

= $15 1/10

The crowd at a concert estimated to be 3,500 people. The exact attendance is 3,486 people. What is the percent error?

Answers

Answer:

0.4016%

Step-by-step explanation:

Estimated Value = 3,500 people ,  Exact attendance = 3486 people

We can see that there is a Percentage decrease . So we will apply the formula.

%Decrease = Old Value - New Value /Old Value × 100%

%decrease = 14/3486 %

%Decrease = 0.4016% (Answer)

There’s a drawing and I don’t know how to explain it on it

A basket holds at most 14 pounds of apples and oranges. There are at least 3
pounds of apples in the basket. This graph shows the system that represents
this scenario, where x is the weight of the apples and y is the weight of the
oranges.
Which point represents a viable solution?

Answers

Answer:

D

Step-by-step explanation:

First, there must be at least 3 pounds of apples in the basket. Apples are the first number, so B and D are our options. As it is impossible to have a negative weight of oranges, D is our answer

The point that represents a viable solution is D(4, 3).

What are systems of inequalities?

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

The graph shows the system of inequalities:

x + y ≤ 14

x ≥ 3

y ≥ 0

where x is the weight of the apples and y is the weight of the oranges.

We need to find the point that represents a viable solution, which means it should satisfy all three inequalities.

Let's check each option:

A(2, 9):

2 + 9 ≤ 14 (satisfied)

2 < 3 (not satisfied)

9 ≥ 0 (satisfied)

A(2, 9) does not satisfy the second inequality, so it is not a viable solution.

B(3, -2):

3 + (-2) ≤ 14 (satisfied)

3 ≥ 3 (satisfied)

-2 ≥ 0 (not satisfied)

B(3, -2) does not satisfy the third inequality, so it is not a viable solution.

C(1, 14):

1 + 14 ≤ 14 (not satisfied)

1 ≥ 3 (not satisfied)

14 ≥ 0 (satisfied)

C(1, 14) does not satisfy the first inequality, so it is not a viable solution.

D(4, 3):

4 + 3 ≤ 14 (satisfied)

4 ≥ 3 (satisfied)

3 ≥ 0 (satisfied)

D(4, 3) satisfies all three inequalities, so it represents a viable solution.

Therefore, the point that represents a viable solution is D(4, 3).

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ7

Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.

Answers

Answer:

Child ticket = $7, adult ticket = $12

Step-by-step explanation:

3 child tickets and 4 adult tickets for $69:

3x + 4y = 69

3 adult tickets for $36:

3y = 36

Graph is attached

As per graph, x = 7, y = 12

Child ticket = $7, adult ticket = $12

Convert 0.838383 into a fraction

Answers

Answer:

8jdhdhdhdhfbdudhdhdhd

Lydia can paint 5/8 of a room in 2/3 of an hour. What is her unit rate?

[tex] \frac{10}{11} [/tex]

[tex] \frac{15}{16} [/tex]

[tex] \frac{7}{11} [/tex]

[tex] \frac{5}{12} [/tex]

Answers

Answer:

The answer is

[tex] \frac{15}{16} [/tex]

Solve: 68 – x = 14
( please i really need these super fast thank you! )

Answers

Answer:

x =54

Step-by-step explanation:

68 - x = 14

find the difference of 68 and 14 to get X

68 - 14 = 54

X=54

(Sorry if it is incorrect or doesn’t make sense!)

the answer is x=54 .

Anwser this question for brainlist

Answers

the answer would be A

3(3)+8= 17 7(3)+9=30 17+30=47

10(3)+17=47

47=47

The senior classes at High School A and High School B planned separate trips to New York City.
The senior dass at High School A rented and filled 14 vans and 6 buses with 264 students. High
School B rented and filled 7 vans and 5 buses with 178 students. Every van had the same
number of students in it as did the buses. How many students rode in each van?

Answers

Answer:

9 kids

Step-by-step explanation:

sina×tga=1/2, cosa=?​

Answers

Answer:

cos a = -1.28 and 0.78

Step-by-step explanation:

The question is not properly written. This is the correct question:

If sina×tan(a) = 1/2, find cosa

According to trigonometry identity;

tan a = sina/cosa

sina×tan(a) = sin a * sina/cosa

sin²a/cos a = 1/2

(1-cos²a)/cosa = 1/2

Cross multiply

2(1-cos²a) = cos a

2 - 2 cos²a = cos a

2cos²a + cos a - 2 = 0

Let P = cos a

2P² + P -2 = 0

P = -1 ±√1-4(2(2)/2(2)

P =  -1 ±√1+16/4

P = -1 ±√17/4

P = -1±4.12/4

P = -1-4.12/4 and -1+4.12/4

P = -5.12/4 and 3.12/4

P = -1.28 and 0.78

Since P = cos a

Hence cos a = -1.28 and 0.78

I need help who can help me with this ?

Answers

Answer:

15

205

45

Step-by-step explanation:

all arc measures are equivalent to the corresponding angle within the circle

10) 15

11) subtract all other angles from 360 to find missing angle

360= 15+95+45+x

360=155+x

205=x

12) 45

In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)

Answers

Answer:

D) (0,1) (2,3) (4,5)

Step-by-step explanation:

Explanation

Given Points are  A(0,1) , B(2,3) , C(4,5)

slope of the AB

                  [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]

Slope of BC

                [tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]

Therefore slope of AB and BC are equal

The three points lie on same straight line

The three points are collinear points

Other Questions
Students surveyed boys and girls separately to determine which sport was enjoyed the most. After completing the boysurvey, it was determined that for every 3 boys who enjoyed soccer, 5 boys enjoyed basketball. The girl survey had aratio of the number of girls who enjoyed soccer to the number of girls who enjoyed basketball of 7:1. If the samenumber of boys and girls were surveyed and 90 boys enjoy soccer, how many girls each sport?Please help me and show how to solve this the best answer will get brainlesest Whats the difference between Editing & Revising? (Language Arts) HELPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEE What's the theme of the book the sea of monsters Percy Jackson Which is one piece of information that "9 gives about an atom of fluorine?The atomic mass is different than the atomic number, and the number of neutrons is the difference between the atomic mass and the atomic number.the atomic numberthe atomic massthe mass of protonsthe number of neutrons How does using the context of a passage help you read? Can anyone helppppp meeee whats 7.24 divided by 7 I WILL GIVE BRAINLIEST TI RIGHT ANSWER write an equation of the line in a slope intercept form has a slope of -6 and passes through the point (2, -4) The Hu family goes out for lunch, and the price of the meal is $57. The sales tax on the meal is 7%, and thefamily also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?The total cost of the meal is si HELP PLZZZZZ ANSWER QUICKLYThe success of American Indian owned businesses is important to Oklahomas overall economic well beingTrue false verticle asphotes for the problem depicted in the screen shot. An animal is an example of a/an-A: tissue B:cell typeC:organD:organism can you please help me:) Evaluate the expression.6242 6242 KAPWING Video Editing Software allows you to use existing You Tube Videos in your design. 2. Why did the British in 1778 realize that it would be hard to bring the Colonies back to theempire? Define friction. Prove that tangent of angle of friction is equal to coefficientof friction. Where can a client identify the instant deposit options for their QuickBooks Payments account? Going about her cleaning routine as usual, Jayla sprays an aerosol bleach cleanser in her bathroom and then leaves to let it air out before she scrubs it down. Only two or three minutes later, she notices her cat, Grimaldi, fleeing the bathroom, coughing. Jayla hadnt realized that Grimaldi was in the bathroom when she sprayed the chemical, so she rushes over to check on him. He seems to be wheezing and shaking a bit. Calling the vet, he asks Jayla to explain how Grimaldi was exposed to the chemical. Hearing Jaylas explanation, which method of poisoning will the vet MOST likely assume Grimaldi is dealing with?ingested poisonabsorbed poisoninjected poisoninhaled poison Why did Jay Gatsbys American Dream fail?